2007
DOI: 10.1109/tsp.2006.889470
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A Bayesian Approach to Multiple Target Detection and Tracking

Abstract: Abstract-This paper considers the problem of simultaneously detecting and tracking multiple targets. The problem can be formulated in a Bayesian framework and solved, in principle, by computation of the joint multitarget probability density (JMPD). In practice, exact computation of the JMPD is impossible, and the predominant challenge is to arrive at a computationally tractable approximation. A particle filtering scheme is developed for this purpose in which each particle is a hypothesis on the number of targe… Show more

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Cited by 140 publications
(91 citation statements)
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“…The PFs belonging to the second group assume posterior independence between well-separated targets rather than between individual targets. The representative works are the joint optimal importance density (JOID) method in [191]. The adaptive systems approach of [192] applies the idea of joint sampling to subsets of the measurement record.…”
Section: Bayesian Approachesmentioning
confidence: 99%
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“…The PFs belonging to the second group assume posterior independence between well-separated targets rather than between individual targets. The representative works are the joint optimal importance density (JOID) method in [191]. The adaptive systems approach of [192] applies the idea of joint sampling to subsets of the measurement record.…”
Section: Bayesian Approachesmentioning
confidence: 99%
“…The JMPD method can also be derived using the mathematics of RFS and expressed in the FISST framework [106]. In [191] and [196], the JMPD is found by the usual Bayesian filtering recursion involving evaluation of the Chapman-Kolmogorov equation followed by the multiplication of the result by the likelihood. This simplifies the calculation of the posterior in comparison with the RFS framework mainly due to the use of vector integrals rather than set integrals.…”
Section: Bayesian Approachesmentioning
confidence: 99%
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“…This section reviews the Joint Multitarget Probability Density (JMPD) and its Particle Filter (PF) implementation [1]- [3]. The JMPD is a single probabilistic entity that captures all of the uncertainty about a surveillance region.…”
Section: The Joint Multitarget Probability Density (Jmpd)mentioning
confidence: 99%
“…Since the JMPD is a high-dimensional entity that can not be computed in closed form, particle filters (PFs) have been used to approximate the JMPD in realistic scenarios involving tracking multiple targets [11]. While the particle filter based JMPD approach is theoretically sound, it demands intense computation, with a huge number of particles required to explore different dimensional statespaces for target detection.…”
Section: Introductionmentioning
confidence: 99%